Development of software and databases supporting research in number theory and arithmetic geometry Fundamental research in arithmetic geometry inspired by computation and leading to new algorithms ...

Iwasawa theory investigates the variation of arithmetic invariants—such as class groups and Selmer groups—along infinite towers of number fields, most classically the cyclotomic Z p-extension of the ...

Analytic number theory employs techniques from complex analysis to probe the distribution of prime numbers and related arithmetic sequences. Central to this discipline is the study of zeta and ...

The University of Colorado Center for Number Theory has interests spanning number theory, from analytic to algebraic. There is a focus on arithmetic geometry, including arithmetic dynamics, elliptic ...

Students should be able to perform basic operations (addition, subtraction, multiplication, division) and have an understanding of basic Algebra. Students should also understand what the basic number ...